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Finding the Fourth Proportional to 3,267.54, 4,507.38 and 2,007.72

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Solution

The fourth proportional to 3,267.54, 4,507.38 and 2,007.72 is: 2,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.54 : 4,507.38 = 2,007.72 : x
  2. Step 2: Convert to fraction form
    3,267.54/4,507.38 = 2,007.72/x
  3. Step 3: Cross multiply
    3,267.54x = 4,507.38 × 2,007.72
  4. Step 4: Simplify right side
    3,267.54x = 9,049,556.97
  5. Step 5: Solve for x
    x = 9,049,556.97/3,267.54
  6. Step 6: Final answer
    x = 2,769.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.